Expert Answers
lemjay eNotes educator| Certified Educator

`3 - 4ln(8x+1) = 12`

To isolate the x, first subtract both sides by 3.

`3-3 - 4ln(8x+1) = 12-3`


Then, divide both sides by -4.



From here, convert this to exponential equation.

Note that the equivalent exponential form of a logarithmic equation `ln M= a`  is  `M=e^a` .


Then, subtract both sides by 1.

`8x+1-1=e^(-9/4) - 1`


And divide both sides by 8.



Hence, the solution to the given equation is `x=(e^(-9/4)-1)/8` .

oldnick | Student